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Transient analysis of a fluid queue driven by a chain sequenced birth and death process with catastrophes

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  • T. Vijayalakshmi
  • V. Thangaraj

Abstract

In this paper, we analyse the transient behaviour of a fluid queue modulated by a birth and death processes (BDPs) whose birth and death rates are suggested by a chain sequence and catastrophes. We derive a system of differential equations satisfied by this fluid model. We employ the Laplace transform technique and continued fraction methodology to obtain a simple closed form transient state probability distribution. Also we find the distribution of busy period and analyse the system when there are no catastrophes.

Suggested Citation

  • T. Vijayalakshmi & V. Thangaraj, 2016. "Transient analysis of a fluid queue driven by a chain sequenced birth and death process with catastrophes," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 8(2), pages 164-184.
    • Handle: RePEc:ids:ijmore:v:8:y:2016:i:2:p:164-184
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    Cited by:

    1. Vijay Rajan Lumb & Indra Rani, 2022. "Analytically simple solution to discrete-time queue with catastrophes, balking and state-dependent service," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(2), pages 783-817, April.

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